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Finding the Fourth Proportional to 102,582.84, 153,872.66 and 52,634.12

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Solution

The fourth proportional to 102,582.84, 153,872.66 and 52,634.12 is: 78,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582.84 : 153,872.66 = 52,634.12 : x
  2. Step 2: Convert to fraction form
    102,582.84/153,872.66 = 52,634.12/x
  3. Step 3: Cross multiply
    102,582.84x = 153,872.66 × 52,634.12
  4. Step 4: Simplify right side
    102,582.84x = 8,098,951,018.63
  5. Step 5: Solve for x
    x = 8,098,951,018.63/102,582.84
  6. Step 6: Final answer
    x = 78,950.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.